Differential equations

1. find Laplace transform Y(s) for the solution y(t) of thr initial condition problem y"-2y=g(t), y(0)=2, y'(0)=5 where g(t)=1 for 0<_t<_1 and g(t)=0 for t>1

2. Find Laplace^-1 {(s+2)/(s(s^2+2s+2))}

3. Use Laplace transform to solve initial value problem y"-4y'+3y=0, y(0)=1, y'(0)=3

PLEASE SHOW ALL WORK.